In the quest for generic exploration, engineering collisions between muons and anti-muons for the first time is in itself a unique opportunity offered by the muon collider project. The concept can be made concrete by considering scenarios where the sensitivity to new physics stems from colliding muons, rather than electrons or other particles. An extensive overview of such “muon-specific” opportunities is provided in Ref. [1]}, based on the available literature [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, [20]}. A concise summary is reported below.
